Additive conserved quantities in discrete-time lattice dynamical systems

Tetsuya Hattori, Shinji Takesue

研究成果: Article査読

58 被引用数 (Scopus)

抄録

We give a necessary and sufficient condition for the existence of additive conserved quantities for one-dimensional discrete-time lattice dynamical systems such as cellular automata (CA) and coupled map lattices. Proof is given for the case of nearest-neighbor interaction rules. The obtained condition guarantees the existence of the current conservation law and is useful for finding additive conserved quantities for CA. Applications are made to Wolfram's elementary CA and elementary reversible CA of Takesue. In the latter case, the additive conserved quantities are classified into those induced by local conservation laws and propagative ones.

本文言語English
ページ(範囲)295-322
ページ数28
ジャーナルPhysica D: Nonlinear Phenomena
49
3
DOI
出版ステータスPublished - 1991 4 2
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 凝縮系物理学
  • 応用数学

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